English
Related papers

Related papers: SymbolicGPT: A Generative Transformer Model for Sy…

200 papers

Symbolic Regression (SR) holds great potential for uncovering underlying mathematical and physical relationships from observed data. However, the vast combinatorial space of possible expressions poses significant challenges for both online…

Machine Learning · Computer Science 2025-02-14 Yuan Tian , Wenqi Zhou , Michele Viscione , Hao Dong , David Kammer , Olga Fink

We propose a novel deep symbolic regression approach to enhance the robustness and interpretability of data-driven mathematical expression discovery. Our work is aligned with the popular DSR framework which focuses on learning a…

Machine Learning · Computer Science 2026-03-30 Zachary Bastiani , Robert M. Kirby , Jacob Hochhalter , Shandian Zhe

The process of discovering equations from data lies at the heart of physics and in many other areas of research, including mathematical ecology and epidemiology. Recently, machine learning methods known as symbolic regression emerged as a…

Machine Learning · Computer Science 2026-01-21 Beatriz R. Brum , Luiza Lober , Isolde Previdelli , Francisco A. Rodrigues

Symbolic regression (SR), the automated discovery of mathematical expressions from data, is a cornerstone of scientific inquiry. However, it is often hindered by the combinatorial explosion of the search space and a tendency to overfit.…

Machine learning techniques play an important role in analyzing spectral data. The spectral data of fish biomass is useful in fish production, as it carries many important chemistry properties of fish meat. However, it is challenging for…

Neural and Evolutionary Computing · Computer Science 2025-05-29 Zhixing Huang , Bing Xue , Mengjie Zhang , Jeremy S. Ronney , Keith C. Gordon , Daniel P. Killeen

Recent advances in machine learning have demonstrated an enormous utility of deep learning approaches, particularly Graph Neural Networks (GNNs) for materials science. These methods have emerged as powerful tools for high-throughput…

Computational Physics · Physics 2025-05-23 Junchi Liu , Ying Tang , Sergei Tretiak , Wenhui Duan , Liujiang Zhou

Symbolic regression aims to discover concise, interpretable mathematical expressions that satisfy desired objectives, such as fitting data, posing a highly combinatorial optimization problem. While genetic programming has been the dominant…

Machine Learning · Computer Science 2025-09-25 Zhengyao Huang , Daniel Zhengyu Huang , Tiannan Xiao , Dina Ma , Zhenyu Ming , Hao Shi , Yuanhui Wen

We introduce polyglot language models, recurrent neural network models trained to predict symbol sequences in many different languages using shared representations of symbols and conditioning on typological information about the language to…

Computation and Language · Computer Science 2016-05-13 Yulia Tsvetkov , Sunayana Sitaram , Manaal Faruqui , Guillaume Lample , Patrick Littell , David Mortensen , Alan W Black , Lori Levin , Chris Dyer

Existing large language models have to run K times to generate a sequence of K tokens. In this paper, we present RecycleGPT, a generative language model with fast decoding speed by recycling pre-generated model states without running the…

Computation and Language · Computer Science 2024-05-24 Yufan Jiang , Qiaozhi He , Xiaomin Zhuang , Zhihua Wu , Kunpeng Wang , Wenlai Zhao , Guangwen Yang

Despite significant progress of generative models in the natural sciences, their controllability remains challenging. One fundamentally missing aspect of molecular or protein generative models is an inductive bias that can reflect…

Machine Learning · Computer Science 2023-08-25 Jannis Born , Matteo Manica

Solving symbolic mathematics has always been of in the arena of human ingenuity that needs compositional reasoning and recurrence. However, recent studies have shown that large-scale language models such as transformers are universal and…

Machine Learning · Statistics 2023-03-15 Kimia Noorbakhsh , Modar Sulaiman , Mahdi Sharifi , Kallol Roy , Pooyan Jamshidi

Advances in Geometric Semantic Genetic Programming (GSGP) have shown that this variant of Genetic Programming (GP) reaches better results than its predecessor for supervised machine learning problems, particularly in the task of symbolic…

Neural and Evolutionary Computing · Computer Science 2018-04-19 Joao Francisco B. S. Martins , Luiz Otavio V. B. Oliveira , Luis F. Miranda , Felipe Casadei , Gisele L. Pappa

A core challenge for both physics and artificial intellicence (AI) is symbolic regression: finding a symbolic expression that matches data from an unknown function. Although this problem is likely to be NP-hard in principle, functions of…

Computational Physics · Physics 2020-04-16 Silviu-Marian Udrescu , Max Tegmark

In this paper, we propose a semantic communication approach based on probabilistic graphical model (PGM). The proposed approach involves constructing a PGM from a training dataset, which is then shared as common knowledge between the…

Machine Learning · Computer Science 2024-08-09 Haowen Wan , Qianqian Yang , Jiancheng Tang , Zhiguo shi

Symbolic regression discovers explicit, interpretable equations without assuming a functional form in advance. A Bayesian approach strengthens this through probability distributions over candidate expressions, thus quantifying uncertainty…

Machine Learning · Computer Science 2026-05-05 James Butterworth , Gevik Grigorian , Alejandro DiazDelaO

Model-based approaches for (bio)process systems often suffer from incomplete knowledge of the underlying physical, chemical, or biological laws. Universal differential equations, which embed neural networks within differential equations,…

Machine Learning · Statistics 2026-05-20 Arno Strouwen

The Generative Pre-trained Transformer (GPT) represents a notable breakthrough in the domain of natural language processing, which is propelling us toward the development of machines that can understand and communicate using language in a…

We explore the application of transformer-based language models to automated theorem proving. This work is motivated by the possibility that a major limitation of automated theorem provers compared to humans -- the generation of original…

Machine Learning · Computer Science 2020-09-09 Stanislas Polu , Ilya Sutskever

Formal/symbolic semantics can provide canonical, rigid controllability and interpretability to sentence representations due to their \textit{localisation} or \textit{composition} property. How can we deliver such property to the current…

Computation and Language · Computer Science 2025-07-02 Yingji Zhang , Danilo S. Carvalho , André Freitas

We propose and study a method for learning interpretable representations for the task of regression. Features are represented as networks of multi-type expression trees comprised of activation functions common in neural networks in addition…

Neural and Evolutionary Computing · Computer Science 2019-03-26 William La Cava , Tilak Raj Singh , James Taggart , Srinivas Suri , Jason H. Moore